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Arithmetic Course/Types of Number/Integer Number
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Integer Number
Integer number is a set of Positive Integer , 0 and Negative Integer
Positive Integer . +N > 0 = {+1,+2,+3,+4,+5,+6,+7,+8,+9}
Negative Integer . -N < 0 = {-1,-2,-3,-4,-5,-6,-7,-8,-9}
Zero . N = 0
Properties
a + b = b + a
a + b + c = (a + b) + c = a + (b + c)
Mathematic Operations
Integer Addition
a + 0 = a
a + a = 2a
a + (-a) = 0
Integer Subtraction
a - 0 = a
a - a = 0
a - (-a) = 2a
Integer Multiplication
a x 0 = 0
a x a = a2
a x (-a) = -a2
Integer Division
a / 0 = ∞
a / a = 1
a / (-a) = -1
Multiple of Integer
a + a + a + .... = na
na + ma = an[1 + a^(m-n)]
na - ma = an[1 - a^(m-n)]
na x ma = (nm) a
na / ma = (n/m) a
Power of Integer
a x a x a x .... = an
Root of Integer
There exist then
Log of Integer
There exist then Loga b = c
then Log 10a = c
then Lna = c